How to convert 6 10/6 to a decimal number?

Some mixed numbers, such as 6 10/6, represent a value that can also be expressed as a decimal (which can make certain calculations and comparisons easier to perform).

Step-by-step conversion of 6 10/6 to a decimal number

  1. Multiply the whole number by the denominator: 6 × 6 = 36
  2. Add this result to the numerator: 36 + 10 = 46
  3. Divide the previous result by the denominator: 46 ÷ 6 = 7.6666666666667

So the mixed number 6 10 6 as a decimal is 7.6666666666667.

Please note that you can also express this result as a fraction by simplifying 46/6 = 23/3.